Abstract
We present a divide and conquer based algorithm for optimal quantum compression/decompression, using O ( n (log 4 n )log log n ) elementary quantum operations. Our result provides the first quasi-linear time algorithm for asymptotically optimal (in size and fidelity) quantum compression and decompression. We also outline the quantum gate array model to bring about this compression in a quantum computer. Our method uses various classical algorithmic tools to significantly improve the bound from the previous best known bound of O ( n 3 ) for this operation.
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